Toplam kayıt 30, listelenen: 1-10
Asymptotic formulae for the Schrodinger operator with Dirichlet and Neumann boundary conditions
In this paper, we consider the Schrodinger operators defined by the differential expression Lu = -Delta u+q(x)u in d-dimensional parallelepiped F, with the Dirichlet and Neumann boundary conditions, and obtain the asymptotic ...
Asymptotic formulae for the Bloch eigenvalues near planes of diffraction
In this paper we obtain asymptotic formulae of arbitrary order for the Bloch eigenvalue of the periodic Schrödinger operator -△ + q(x), of arbitrary dimension, when the corresponding quasi-momentum lies near planes of diffraction.
Spectral expansion for a nonselfadjoint periodic differential operator
In the paper, we construct the spectral expansion for the differential operator generated in L-2(-infinity,infinity) by an ordinary differential expression of arbitrary order with periodic complex-valued coefficients ...
On the Riesz basisness of the root functions of the nonself-adjoint Sturm-Liouville operator
(The Hebrew University Magnes Press, 2005)
In this article we obtain the asymptotic formulas for eigenfunctions and eigenvalues of the nonself-adjoint Sturm-Liouville operators with periodic and antiperiodic boundary conditions, when the potential is an arbitrary ...
Asymptotic formulas for Dirichlet boundary value problems
(Akademiai Kiado, 2005-05)
In this article we obtain asymptotic formulas of arbitrary order for eigenfunctions and eigenvalues of the nonselfadjoint Sturm-Liouville operators with Dirichlet boundary conditions, when the potential is a summable ...
Isospectral mathieu - hill operators
(Springer Verlag, 2013-08)
In this paper we prove that the spectra of the Mathieu-Hill Operators with potentials ae(-i2 pi x) +be (i2 pi x) and ce(-i2 pi x) +de (i2 pi x) , where a, b, c and d are complex numbers, are the same if and only if ab = ...
Asymptotic analysis of non - self - adjoint Hill operators
(Springer Verlag, 2013-12)
We obtain uniform asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm-Liouville operators L (t) (q) with a potential q a L (1)[0,1] and t-periodic boundary conditions, t a (-pi, pi]. Using these formulas, ...
Asymptotic formulas with arbitrary order for nonseleadjoint differential operators
(Akademiai Kiado, 2007-09)
We obtain asymptotic formulas with arbitrary order of accuracy for the eigenvalues and eigenfunctions of a nonselfadjoint ordinary differential operator of order n whose coefficients are Lebesgue integrable on [0,1] and ...
Uniform convergence of the spectral expansion for a differential operator with periodic matrix coefficients
(Hindawi Publishing Corporation, 2008)
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coeffcients and the quasiperiodic boundary conditions. Using these ...
On the differential operators with periodic matrix coefficients
(Hindawi Publishing Corporation, 2009)
We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and quasiperiodic boundary conditions. Then by using these ...